| Unit Title: | Pythagorean theorem | Number of Lessons | 1-5 | Time
(in weeks): |
2-3 |
| Name: | Gurpreet Singh | Subject(s): | Mathematics | Grade(s): | 8 |
Rationale
| Imparting light on the significance of Pythagorean theorem in the present world situation through observing daily routine activities and thus critically reflecting every major discipline in which it is used.
Getting an insight of the history of Pythagorean theorem so that its nature over the years and what can be its scope in the nearby future. Organizing field activities which enhances learning experiences with a fun rather than bookish learning. Lively experience for understanding mathematics techniques and making innovation in the rigid structure of curriculum. Finding any possible alternatives of theorem and if not then reasons behind it. |
Overview:
| The lessons will focus on delivering knowledge of mathematical formulae through the current scenario of working.
The importance will be taught through relating history impacts and evidences of the theorem with today’s world. Novel computer techniques will be used to enhance the learning experience through 3-D modelling and simulations. Field activities will be organized that will focus on practical approach to the learning experiences. Like, paper folding technique or say square cutting strategy, which can give the idea of how this theorem works in practice. Cultural and moral significance of Pythagorean theorem and its ancient roots. |
https://youtu.be/z6lL83wl31E
Key Questions For Inquiry
| Core Question & Supporting Questions for Inquiry Project | Question(s) Addressed in This Lesson |
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How relevant it is in the daily routine lifestyle to study about it?
Pythagorean theorem in the current time, as the structure is too rigid to modify or make strategies successful?
First People’s Principle: How our cultural learning can help in modelling new ideas and techniques?
Is there any historical importance of the Pythagorean theorem in regard to the culture and heritage?
Does it impart any kind of symbolic message to the spiritual growth of an individual or is it just a play of integers only?
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Scope and applications of Pythagorean theorem.
How and in what ways it is utilized in other areas of education?
Does it need updating to fit into the current educational paradigm?
Is there any other scope of using this formula rather than finding out measurements?
Are there any historical evidences of this theorem that can be related to current scenario?
Historical evidences of Pythagorean theorem.
How did it invent and under what circumstances?
What was the need of its invention and in what ways it became relevant?
Was there any other motive behind its invention?
What can be the contradictions to the nature of its existence?
Novel ideas of working with Pythagorean.
What contexts can be attributed in the making of new working models?
What is the need of such new models if the existing model is working with more ease?
How it will ensure enhance in learning concepts?
If the models work or not in the current scenario?
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Core Principles of Effective Teaching (Sharon Friesen) Focus on one or more core principles in the lesson
| Core Principle 1: Effective teaching practice begins with the thoughtful and intentional design of learning that engages students intellectually and academically.
*What aspects of the inquiry are the most challenging and meaningful for students? |
Acquiring knowledge of Pythagorean through field activities as well as at the same time contributing to the novel ideas and innovation of the technical ways. |
| Core Principle 2: The work that students are asked to undertake is worthy of their time and attention, is personally relevant, and deeply connected to the world in which they live.
*What makes this inquiry valuable, meaningful, and “alive” for the students and teachers?
|
Better insight of the taught concept with actual real-life purpose of learning concepts, such as finding length of the ladder and building height through shadow variations. |
| Core Principle 3: Assessment practices are clearly focused on improving student learning and guiding teaching decisions and actions.
*How do I define learning and success in this inquiry? How is learning expressed and articulated in peer, self, and teacher assessments? |
Assessment will be based on how relevant one connects Pythagorean to the practical grounds and this will be done through real life experiments. |
| Core Principle 4: Teachers foster a variety of interdependent relationships in classrooms that promote learning and create a strong culture around learning.
*How do I connect students with each other, with experts in the field, with larger communities and nature, and across disciplines? |
Connections are made through collaborative working in the field activities and then open discussion on the possible solutions. |
| Core Principle 5: Teachers improve their practice in the company of peers.
*How do I reflect on the inquiry together, and/or collaborate with others? |
Observing the students working and marking any novel ways of solving, then finding the real implication through experts from other disciplines. |
BC Curriculum Core Competencies
| Communication | Thinking | Personal & Social |
| Clearly demonstrate the taught concepts and their scope.
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Analytical thinking focused upon mathematical reasoning. | Societal and cultural relevance of Pythagorean theorem through self reflection. |
BC Curriculum Big Ideas (STUDENTS UNDERSTAND)
|
Historical significance, Real life implication, Storytelling through First People’s principle and interdisciplinary approach of Pythagorean in daily life cycle. Number fluency, 3-D models, fun game activities, Computer software oriented towards analytical reasoning, paper folding techniques. Broad spectrum of mathematical concepts to enhance imagination and simulation.
|
BC Curriculum Learning Standards
| (STUDENTS DO) | (STUDENTS KNOW) |
| Learning Standards – Curricular Competencies | Learning Standards – Content |
| Reasoning and logic to critically evaluate the learning concept.
Estimate and evaluate the outcomes reasonably and with deep reflection.
Analytical approach in puzzles solving.
Finding relevant information to support historical claims.
Field activities to enhance learning concept with better understanding.
Computer approach to figure out 3-D modeling of the structure.
Reliability of the conceptual framework. |
Must know the ways of solving roots and cube roots.
Operational knowledge of dealing with fractions and decimals in the number system.
Mental capabilities to ensure better knowledge.
Aware of the past nature of the theorem and thus assist in future scope of the same.
Learning with fun, clarifies actual working area of the theorem.
Imagination of the modelling and working of Pythagorean theorem.
Future scope and implications. |
BC Curriculum Indigenous Connections/ First Peoples Principles of Learning
| How will I incorporate Indigenous knowledge and principles of learning?
Historical truthiness of the theorem through cultural contexts. Through storytelling and embedding cultural ideas with the relevant patterns of working. Lively connecting through daily practices and through folk songs or rhythms. Elder’s teachings by connecting with aptitude and knowledge and then open discussion on the whole matter.
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Respectful Relations
| How will I invite students of all backgrounds, interests, and skills into the inquiry?
Thorough clarifying, explaining applications and usage of Pythagorean concept in every field of life, so that its idea can be modified.
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Teacher Preparation Required:
| Lesson # | |
| Lesson 1 | Significance of Pythagorean theorem. |
| Lesson 2 | History of Pythagorean theorem |
| Lesson 3 | Novel Ideas (Pythagorean theorem- Computer engagement) |
| Lesson 4 | Novel Ideas (Field activities- Paper folding or square cutting) |
| Lesson 5 | Novel ideas (Games and puzzles activities) |
Materials and Resources
Organizational Strategies
| Storytelling through elders to make interest in the mathematical pedagogy.
Arranging computer classes for interactive learning module of mathematical concepts. Field activities to ensure better understanding of the Pythagorean theorem. Intellectual learning through adopting various novel techniques. Games as puzzles to make it a fun for routine learning. |
Proactive, Positive Classroom Learning Environment Strategies
| Lectures will be focused on field trip activities, novel techniques of learning as well as getting insight of the concepts through routine activities, like getting grocery in the stores, making tickets count in the shopping malls, observing structures in the outer world (whether there is any use of Pythagorean theorem in the making of the buildings) .The whole discussion is focused on arranging healthy dialogue environment to foster the process of learning in this learning process. Fix time slots would be ensured through timetables, so that everyone get a chance to explore ideas and exchange his or her arguments.
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Extensions
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Leaning history is important to bridge gap in theory and reality to ensure better insight and making path for innovate ideas. Apart from learning significance of Pythagorean concept, the need is to develop interactive ways of learning this concept, so that it could be a fun with lot of intellectual gain. |